Two particles of equal masses are revolving in circular paths of radii `r_(1)` and `r_(2)` respectively with the same speed. The ratio of their centripetal force is

Options

A. `(r_(2))/(r_(1))`
B. `sqrt((r_(2))/(r_(1)))`
C. `((r_(1))/(r_(2)))`
D. `(r_(2)/(r_(1)))^(2)`

Answer

A

Explanation

`F=(mv^(2))/(r)`. If m and v are constant then`F alpha (1)/(r)`
`therefore (F_(1))/(F_(2))=(r_(2))/(r_(1))`.